Unformatted text preview: PDE 1 2 2 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∂ ∂ + ∂ ∂ = ∂ ∂ r T r r T t T BCs H I T t T ,t) T(R = = ) , (R O IC C T T = ) , (r Use the subdivision idea discussed and demonstrated in class to get homogeneous BCs. Then, apply separation of variables to find ( ) t r T , . Your solution should consist of: (i) an infinite series for ( ) t r T , (ii) an equation which defines the eigenvalues (iii) definite integrals which define the coefficients of the series (do not evaluate the integrals) The solution should define the functional relationship ( ) C H O I T T R R t r f T , , , , ; , = Convective heat Transfer to a fluid at 0 [°C]...
View Full Document
- Spring '10
- Heat, Advanced Engineering Mathematics, tube wall, outer radius ro, hot temperature TH, uniform temperature TC